A workaround to resolve this issue was found by changing the driver settings for the Integrated Realtek RTL8111E-VL controller. Open the driver settings for the controller by browsing to the Network adapters category in Device Manager and clicking the entry for the Realtek controller. Under the Advanced tab, highlight the Interrupt Moderation property in the list on the left and set it to Disabled:

NOTE: While disabling the Interrupt Moderation setting could possibly lead to increased network performance, note that this setting is designed to prevent excessive network traffic from impeding the processor and negatively impacting overall system performance. Depending on the level of network traffic, disabling Interrupt Moderation may also have an impact on the way the system, and in particular the system processor, performs. For a more detailed description of the technology behind this setting, reference the Interrupt Moderation Article from Microsoft.